Question

sabrina was able to map circle ( p ) onto circle ( r ) (with ( q ) and ( s ) being on each circle, respectively) using a translation and a dilation.
sabrina concluded:
i was able to map circle ( p ) onto circle ( r ) using a sequence of rigid transformations and a dilation, so the figures are similar.
what error did sabrina make in her conclusion?
choose 1 answer:
a sabrina used a translation, so the circles arent similar.
b sabrina used a dilation, so the circles arent similar.
c there is no error. this is a correct conclusion.

Explanation:

Step1: Recall the definition of similar figures

Similar figures can be mapped onto each other using a sequence of rigid transformations (translations, rotations, reflections) and dilations.

Step2: Analyze the transformation of circles

A translation is a rigid transformation (it preserves shape and size). A dilation changes the size of a figure but not its shape. All circles have the same shape (they are all round). When we can map one circle onto another using a translation (to move the center) and a dilation (to adjust the radius), the two circles are similar.

Answer:

C. There is no error. This is a correct conclusion.